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How to vary lambda in exponentially distributed numbers

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#probability #probability-theory #probability-distributions #algorithms #exponential-function
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Is this algorithm an example of exponential interpolation?

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#exponential-function #interpolation
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Constant growth rate?

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#exponential-function
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How to prove gaussian-like integral equation true.

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#integration #exponential-function #pi
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How do we know that $\sum_{k=0}^{\infty}\frac{x^k}{k!}=e^x$?

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#power-series #taylor-expansion #exponential-function
2.1k
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How to go from a sum to a product and a product to a sum?

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#calculus #logarithms #summation #exponential-function #products
871
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Developing $\exp z$ in a power series in $\pi i$

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#power-series #exponential-function
372
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Iterates of $f_b(x) = x - \log_b(x) $ - for $\log(b) \approx 0.399$: convergence to accumulation points or chaos?

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#dynamical-systems #exponential-function #fixed-point-theorems
162
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behavior of exponential integral $ E_{1}(x) $ near $ x=0 $

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#exponential-function
410
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Commuting Exponential Matrices

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#analysis #matrices #ordinary-differential-equations #exponential-function
350
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$n$-th derivative of exponential integral

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#derivatives #special-functions #exponential-function
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When is the sum of two exponentials functions equal to another exponential function?

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#real-analysis #functions #special-functions #exponential-function
2.9k
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Euler's identity: why is the $e$ in $e^{ix}$? What if it were some other constant like $2^{ix}$?

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#complex-numbers #intuition #exponential-function
141
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Occurrence of $e$ in intersecting circles.

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#geometry #analysis #exponential-function #pi #geometric-construction
195
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What is the maximum of the self root $f(x) = x^{1/x}$

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#calculus #arithmetic #exponential-function

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